Effect of Material Nonlinearity on Large Deflection of Variable-Arc-Length Beams Subjected to Uniform Self-Weight

Table 1

Numerical values of 𝜃_𝐴, 𝑤, 𝑦_max, 𝑠_𝑡̂, and 𝑀_max for 𝑛 = 1, 2, 3, and 4.

𝑛	𝜃𝐴 (radian)	𝑤	𝑦max	𝑠𝑡̂	𝑀max
1	0.00	0.0000	0.0000	1.0000	0.0000
	0.25	5.4504	0.0790	1.0154	0.7432
	0.50	8.1451	0.1632	1.0645	1.4417
	0.75	7.4046	0.2589	1.1565	2.0358
	1.00	4.6549	0.3751	1.3108	2.4518
	1.25	1.8750	0.5277	1.5658	2.6186
	1.50	0.2313	0.7499	2.0062	2.4891
2	0.00	0.0000	0.0000	1.0000	0.0000
	0.25	7.0095	0.0872	1.0181	0.9656
	0.50	7.3203	0.1820	1.0766	1.3503
	0.75	5.3230	0.2940	1.1905	1.6084
	1.00	2.8044	0.4384	1.3917	1.7576
	1.25	0.9533	0.6468	1.7535	1.7859
	1.50	0.0948	1.0026	2.4752	1.6714
3	0.00	0.0000	0.0000	1.0000	0.0000
	0.25	7.4265	0.0923	1.0198	1.0299
	0.50	6.8181	0.1941	1.0847	1.2921
	0.75	4.5282	0.3174	1.2137	1.4557
	1.00	2.1940	0.4830	1.4499	1.5431
	1.25	0.6760	0.7383	1.9005	1.5473
	1.50	0.0570	1.2343	2.9128	1.4463
4	0.00	0.0000	0.0000	1.0000	0.0000
	0.25	7.5641	0.0960	1.0210	1.0540
	0.50	6.4826	0.2028	1.0905	1.2526
	0.75	4.0844	0.3345	1.2308	1.3729
	1.00	1.8775	0.5164	1.4941	1.4343
	1.25	0.5418	0.8109	2.0185	1.4309
	1.50	0.0396	1.4464	3.3162	1.3400